517877 ÷ 14 
We want to figure out the number of times 517877 can be divided by 14.

On to step 1:
If we divide 5 by 14, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 14

Going ahead to step 2:
51 divided by 14 is 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 42 from 51 and we're left with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 14

On to step 3:
14 can be fit into 97 6 times, resulting in a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 36.0
Deduct 84 from 97 and we're left with 13.
Bring next digit (8) of the dividend behind the 13 and repeat the process: 138 / 14

Step 4:
14 can be fit into 138 9 times, resulting in a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 369.0
Subtract 126 from 138 to get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 14

Step 5:
The number 14 fits into 127 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 3699.0
The remainder is 1 after subtracting 126 from 127.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 14

Let's proceed to step 6:
If we divide 17 by 14, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 36991.0
Deduct 14 from 17 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
The number 14 fits into 30 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 36991.2
Deduct 28 from 30 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 14, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 36991.21
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
The number 14 fits into 60 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 36991.214
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
When dividing 40 by 14, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 36991.2142
If we take 28 away from 40, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 36991.21428
Subtracting 112 from 120 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
The number 14 fits into 80 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 36991.214285
The remainder is 10 after subtracting 70 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
14 can be fit into 100 7 times, resulting in a remainder of 2.
The next digit of our result is 7. 
Result so far: 36991.2142857
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
20 divided by 14 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 36991.21428571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 36991.21428571, with a leftover of 6e-09.